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Course Contents

Course Name: 5th Grade Math

1. The Basics - The Numbers Review
1.1 Placing Values and Expanded Form
1.2 Whole Numbers
1.3 Decimal Numbers
1.4 Prime Numbers
1.5 Composite Numbers
1.6 The Number Line
1.7 Positive and Negative Integers
1.8 Real Numbers
1.9 Absolute Value
1.10 Rounding and Estimating

2. Operations with the Numbers
2.1 Additions
2.1.1 Addition with 3 Digit Numbers
2.1.2 Addition with 4 Digit Numbers
2.1.3 Addition with 5 Digit Numbers
2.1.4 Addition with 6 Digit Numbers
2.1.5 Addition with 7 Digit Numbers
2.1.6 Addition Equations
2.1.7 Adding 3 Sets of Numbers
2.1.8 Addition with Decimals
2.1.9 Addition of Whole Numbers and Decimals
2.1.10 Addition with Negative Numbers
2.2 Subtractions
2.2.1 Subtraction with 3 Digit Numbers
2.2.2 Subtraction with 4 Digit Numbers
2.2.3 Subtraction with 5 Digit Numbers
2.2.4 Subtraction with 6 Digit Numbers
2.2.5 Subtraction Equations
2.2.6 Subtraction with Decimals
2.2.7 Subtraction Involving Whole Numbers and Decimals
2.2.8 Subtraction with Negative Numbers
2.3 Multiplications
2.3.1 Multiplication of 2 Digit with 1 Digit Numbers
2.3.2 Multiplication of 3 Digit with 1 Digit Numbers
2.3.3 Multiplication of 4 Digit with 1 Digit Numbers
2.3.4 Multiplication of 2 Digit with 2 Digit Numbers
2.3.5 Multiplication of 3 Digit with 2 Digit Numbers
2.3.6 Multiplication of 4 Digit with 2 Digit Numbers
2.3.7 Multiplication of a Whole Number with a Decimal Number
2.3.8 Multiplication with 2 Decimal Numbers
2.3.9 Multiplication Equations
2.4 Divisions
2.4.1 Understanding the Division Terms and Division Process
2.4.2 Division without Remainder
2.4.3 Division with Remainder
2.4.4 Division of 3 Digit by 2 Digit Numbers
2.4.5 Division of 4 Digit by 2 Digit Numbers
2.4.6 Division of 4 Digit by 3 Digit Numbers
2.4.7 Division of 5 Digit by 2 Digit Numbers
2.4.8 Division of 5 Digit by 3 Digit Numbers
2.4.9 Division of a Whole Number by a Decimal Number
2.4.10 Division with 2 Decimal Numbers

3. The Fractions
3.1 Understanding Fractions
3.2 Mixed Numbers
3.3 Equivalent Fractions
3.4 Converting Mixed Numbers into Fractions
3.5 Converting Fractions into Mixed Numbers
3.6 The Greatest Common Factor
3.7 The Least Common Multiple
3.8 The Least Common Denominator

4. Operations with the Fractions
4.1 Reducing Fractions
4.2 Adding Fractions
4.3 Adding Fractions and Whole Numbers
4.4 Adding Mixed Numbers
4.5 Multiplying Fractions
4.6 Multiplying Fractions and Whole Numbers
4.7 Subtracting Fractions
4.8 Subtracting Fractions and Whole Numbers
4.9 Subtracting Mixed Numbers
4.10 Dividing Fractions
4.11 Dividing Fractions and Whole Numbers
4.12 Converting Fractions into Decimals
4.13 Converting Decimals into Fractions

5. Number Comparison
5.1 The Number Line
5.2 Comparing Whole Numbers
5.3 Ordering Whole Numbers
5.4 Comparing Decimals
5.5 Ordering Decimals
5.6 Comparing Fractions
5.7 Ordering Fractions
5.8 Comparing Mixed Numbers
5.9 Comparing Whole Numbers with Fractions

6. Percents
6.1 Understanding Percents
6.2 Converting a Decimal to a Percent
6.3 Converting a Percent to a Decimal
6.4 Converting a Percent to a Fraction
6.5 Converting a Fraction to a Percent
6.6 Finding a Percent of a Number
6.7 Determining Percentage Given the Two Numbers

7. Math in Everyday Life
7.1 Salary Calculation
7.2 Number Games
7.3 Money Games
7.4 Family Budgeting
7.5 Age Comparisons
7.6 Commission
7.7 The % Off the Regular Price
7.8 Interest Rates

8. Measurements and Conversions
8.1 Time
8.2 The Metric System
8.3 Mass
8.4 Length
8.5 Temperature
8.6 Volume
8.7 The Rate, Time of Travel and Distance

9. Geometry - Angles and Measuring Angles
9.1 Angles
9.2 Measuring Angles
9.3 Types of Angles

10. Geometry - Basic Shapes and Solids
10.1 Triangles
10.2 Quadrilateral - Squares, Parallelograms and Trapezoids
10.3 Rectangles and Rhombus
10.4 Other Polygons
10.5 Circles
10.6 Cubes
10.7 Pyramids
10.8 Cylinders
10.9 Rectangular Prisms

11. Geometry - Working with the Shapes and Solids
11.1 Area and Perimeter of Triangles
11.2 Area and Perimeter of Squares and Rectangles
11.3 Area and Perimeter of Parallelograms and Trapezoids
11.4 Area and Circumference of a Circle
11.5 Surface Area and Volume of a Cube
11.6 Surface Area and Volume of a Rectangular Box

12. Algebra - Introduction to Variables, Equations and Expressions
12.1 Variables
12.2 Expressions and Equations
12.3 Writing Expressions and Equations
12.4 Word Problems

13. Algebra - Simple Operations with Variables
13.1 Basic Operations with Variable
13.1.1 Additions
13.1.2 Subtractions
13.1.3 Multiplications
13.1.4 Divisions
13.2 Canceling with Variable
13.3 Simplifying and Evaluating Expressions

14. Algebra - Coordinate Plane and First Quadrant
14.1 Introducing the Coordinate Plane
14.2 Working with the First Quadrant
14.3 Connecting Points in the First Quadrant

15. Introduction to Graphs - Collecting and Displaying Data
15.1 The Line Graph
15.2 The Bar Graph
15.3 Double Bar Graph
15.4 Pie Chart (or Circle Graph)
15.5 Collecting Data thru Surveys and Experiments

16. Probability
16.1 Introduction to Probability
16.2 Making Predictions Based On Given Data Set